Landau quantization and quasiparticle interference in the three-dimensional Dirac semimetal Cd3As2

Jeon, Sangjun; Zhou, Brian B.; Gyenis, András; Feldman, Benjamin E.; Kimchi, Itamar; Potter, Andrew C.; Gibson, Quinn; Cava, R. J.; Vishwanath, Ashvin; Yazdani, Ali

doi:10.1038/nmat4023

Cited by 484 publications

(600 citation statements)

References 35 publications

Supporting

Mentioning

557

Contrasting

Unclassified

Order By: Relevance

“…Moreover, as (C n P) 2 ¼ (PC n ) 2 on the k z axis, C n P ¼ ±PC n . However, as the equation (12) is violated if [C n , P] ¼ 0 is fulfilled, we obtain {C n , P} ¼ 0, which immediately leads to the equation (13). In fact, the condition u A,m ¼ À u B,m means exp i 2p…”

Section: Discussionmentioning

confidence: 97%

Classification of stable three-dimensional Dirac semimetals with nontrivial topology

2014

View full text Add to dashboard Cite

A three-dimensional (3D) Dirac semimetal (SM) is the 3D analogue of graphene having linear energy dispersion around Fermi points. Owing to the nontrivial topology of electronic wave functions, the 3D Dirac SM shows nontrivial physical properties and hosts various exotic quantum states such as Weyl SMs and topological insulators under proper external conditions. There are several kinds of Dirac SMs proposed theoretically and partly confirmed experimentally, but its unified picture is still missing. Here we propose a general framework to classify stable 3D Dirac SMs in systems having the time-reversal, inversion and uniaxial rotational symmetries. We show that there are two distinct classes of 3D Dirac SMs. In one class, the Dirac SM possesses a single Dirac point (DP) at a time-reversal invariant momentum on the rotation axis. Whereas the other class of Dirac SMs have a pair of DPs created by band inversion, and carry a quantized topological invariant.

show abstract

Section: Discussionmentioning

confidence: 97%

Classification of stable three-dimensional Dirac semimetals with nontrivial topology

2014

View full text Add to dashboard Cite

show abstract

“…Cd 3 As 2 , and Bi 1−x Sb x with x ∼ 3 − 4% were recently proposed 27,28,[38][39][40] , and also realized experimentally to be Dirac semimetals [29][30][31][32][33][34][35][36][37]41 . This has paved the way to realizing a TR broken WSM phase, which has been so far verified by a few experimental signatures 24,37,41,42 .…”

Section: Nernst Effect In a Lattice Weyl Hamiltonianmentioning

confidence: 99%

Nernst and magnetothermal conductivity in a lattice model of Weyl fermions

Sharma¹,

Goswami²,

Tewari³

2016

Phys. Rev. B

183

191

View full text Add to dashboard Cite

Weyl semimetals (WSM) are topologically protected three dimensional materials whose low energy excitations are linearly dispersing massless Dirac fermions, possessing a non-trivial Berry curvature. Using semiclassical Boltzmann dynamics in the relaxation time approximation for a lattice model of time reversal (TR) symmetry broken WSM, we compute both magnetic field dependent and anomalous contributions to the Nernst coefficient. In addition to the magnetic field dependent Nernst response, which is present in both Dirac and Weyl semimetals, we show that, contrary to previous reports, the TR-broken WSM also has an anomalous Nernst response due to a non-vanishing Berry curvature. We also compute the thermal conductivities of a WSM in the Nernst (∇T ⊥ B) and the longitudinal (∇T B) set-up and confirm from our lattice model that in the parallel set-up, the Wiedemann-Franz law is violated between the longitudinal thermal and electrical conductivities due to chiral anomaly.

show abstract

“…Several materials have been theoretically predicted to be 3D DSMs 12,[17][18][19][20][21] and some of them have already been confirmed by experiments. [30][31][32][33] If one breaks the time reversal symmetry 8,22,23,34 or the inversion symmetry, [35][36][37][38] the 3D DSM will evolve into WSM. Very recently, the predictions about WSM state in TaAs family 37,38 have been confirmed experimentally.…”

Section: Introductionmentioning

confidence: 99%

CaTe: a new topological node-line and Dirac semimetal

Du¹,

Tang²,

Wang³

et al. 2017

npj Quant Mater

115

View full text Add to dashboard Cite

Combining first-principles calculations and effective model analysis, we predict that CaTe is a topological node-line semimetal in the absence of the spin-orbit coupling. Using a slab model, we obtain the nearly flat drumhead surface state near the Fermi level. When the spin-orbit coupling is included, three node lines will evolve into a pair of Dirac points along the M−R line. These Dirac points are robust and protected by the C 4 rotation symmetry. Once this crystal symmetry is broken, the Dirac points will be eliminated, and the system becomes a strong topological insulator.npj Quantum Materials (2017) 2:3 ; doi:10.1038/s41535-016-0005-4 INTRODUCTIONTopological insulator (TI) has attracted broad interest in the past 10 years. [1][2][3][4][5][6][7] The unique property of TI is that it is an insulator in the bulk but has exotic metallic surface states due to the topological order. More recently, the research on topological states has been extended to three-dimensional (3D) semimetal systems. [8][9][10][11][12] These systems could demonstrate many fascinating phenomena, such as Weyl fermion quantum transport and various Hall effects, [13][14][15][16] consequently become the rising stars of the field. Up to now, three kinds of topological semimetals have been discovered, i.e., 3D Dirac semimetal (DSM), 12,[17][18][19][20][21] Weyl semimetal (WSM), 8,9,22,23 and node-line semimetal (NLS). [24][25][26][27][28][29] The 3D DSM has four-fold degeneracy point, which can be viewed as the kiss of two Weyl fermions with opposite chiralities in the Brillouin zone (BZ). Protected by the crystal symmetry and time reversal symmetry, 3D DSMs can be robust against external perturbations. Several materials have been theoretically predicted to be 3D DSMs 12,17-21 and some of them have already been confirmed by experiments. [30][31][32][33] If one breaks the time reversal symmetry 8,22,23,34 or the inversion symmetry, 35-38 the 3D DSM will evolve into WSM. Very recently, the predictions about WSM state in TaAs family 37,38 have been confirmed experimentally. [39][40][41][42] Unlike DSM and WSM whose band crossing points distribute at separate k points in the BZ, for a NLS the crossing points around the Fermi level form a closed loop. Several compounds have been proposed as NLSs, including Mackay-Terrones crystals, 25 Bernal graphite, 43 hyperhoneycomb lattices, 44 and antiperovskite Cu 3 PdN 26,27 and Cu 3 NZn. 27 In the absence of spin-orbit coupling (SOC), time reversal symmetry together with inversion or mirror symmetry will guarantee the occurrence of node line in 3D BZ for systems with band inversion. [25][26][27]37,45,46 Same with TI and WSM, NLS also has a characteristic surface state, namely, drumhead-like state. 24-29 Such a 2D flat band surface state may become a route to achieve high temperature superconductivity. 47,48 As a result, it is of great impetus to search new NLS.In this study, based on first-principles calculations and effective model analysis, we propose that CaTe in CsCl-type structure is a NLS with drumhea...

show abstract

Landau quantization and quasiparticle interference in the three-dimensional Dirac semimetal Cd3As2

Cited by 484 publications

References 35 publications

Classification of stable three-dimensional Dirac semimetals with nontrivial topology

Classification of stable three-dimensional Dirac semimetals with nontrivial topology

Nernst and magnetothermal conductivity in a lattice model of Weyl fermions

CaTe: a new topological node-line and Dirac semimetal

Contact Info

Product

Resources

About